如何在python中使用“matplotlib"绘制带有表面的切片平面 [英] How to plot a slicing plane with a surface with “matplotlib” in python

问题描述

我想知道如何创建两个带有两个二维图形的曲面的切片平面.

I wonder how to create two slicing planes with a surface to two 2d figures.

例如，我创建了一个曲面，如下所示:

For example, I created a surface as below:

from mpl_toolkits.mplot3d import Axes3D
from matplotlib import pyplot as plt
import numpy as np

def f(x1, x2):
    return 0.5 * x1 + 0.6 * x2 + 0.2 * x1 * x1 + 0.1 * x1 * x2 + 0.3 * x2 * x2 + 4

x = np.linspace(-3, 3, 100)
y = np.linspace(-3, 3, 100)
xx, yy = np.meshgrid(x,y)
z = f(xx, yy)

# set up the figure
fig = plt.figure()
ax = fig.gca(projection='3d')
ax.set_xlim(-3, 3)
ax.set_ylim(3, -3)
ax.set_xlabel("x")
ax.set_ylabel("y")
ax.set_zlabel("z")

# plot the figure
ax.plot_surface(xx, yy, z, cmap="spring", alpha = 0.7)

# add the x=y line to the ground plane
ax.plot([-3, 3], [-3, 3], color='grey', linewidth=1, linestyle='dashed')

# add the x=-y line to the ground plane
ax.plot([3, -3], [-3, 3], color='grey', linewidth=1, linestyle='dashed')

ax.plot(x, x, f(x, x), color='dodgerblue')
ax.plot(x, -x, f(x, -x), color='dodgerblue')

plt.show()

上面代码创建的表面是这样的

The surface created by the above code looks like this

在此之后，我想添加两个切片平面，它们是 x = y 和 x = -y 平面.并将两个平面和表面的切割线绘制成两个不同的二维图形.

After this, I want to add two slicing planes, which are x = y and x = -y planes. And plot the cutting lines of the two planes and the surface to two different 2d figures.

例如，曲面和 x = y 平面的切割线的二维图形将类似于下面红色框中的图形，但没有曲面，只有红色曲线.

For example, one 2d figure of the cutting line of the surface and the x = y plane would be something like the figure in the red box below, but no surface, just the red curve.

推荐答案

其实只要把它们画成两个二维图形就可以了

Actually, just need to plot them in two 2d figures

# slicing figure 1
fig2, ax2 = plt.subplots()
ax2.plot(x, f(x, y, b1, b2, b3, b4, b5, con))
ax2.set_title("x=y plane")
ax2.set_xlim(-3, 3)
ax2.set_ylim(1, 15)

# slicing figure 2
fig3, ax3 = plt.subplots()
ax3.plot(x, f(x, -y, b1, b2, b3, b4, b5, con))
ax3.set_title("x=-y plane")
ax3.set_xlim(-3, 3)
ax3.set_ylim(1, 15)

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